Atkin-Lehner |
2- 3- 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862bn |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2346240 |
Modular degree for the optimal curve |
Δ |
442080970131677184 = 213 · 321 · 7 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1504634,-709289031] |
[a1,a2,a3,a4,a6] |
j |
516759568669885035097/606421083856896 |
j-invariant |
L |
3.5444251077411 |
L(r)(E,1)/r! |
Ω |
0.13632404406853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30954d1 |
Quadratic twists by: -3 |